The confined system approximation for solving non-separable potentials in three dimensions


TAŞELİ H. , Eid R.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.31, no.13, pp.3095-3114, 1998 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 13
  • Publication Date: 1998
  • Doi Number: 10.1088/0305-4470/31/13/013
  • Title of Journal : JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Page Numbers: pp.3095-3114

Abstract

The Hilbert space L-2(R-3), to which the wavefunction of the three-dimensional Schrodinger equation belongs, has been replaced by L-2(Omega), where Omega is a bounded region. The energy spectrum of the usual unbounded system is then determined by showing that the Dirichlet and Neumann problems in L-2(Omega) generate upper and lower bounds, respectively, to the eigenvalues required. Highly accurate numerical results for the quartic and sextic oscillators are presented for a wide range of the coupling constants.